How does the calculator compute the moment of inertia if I do not provide it?

It calculates the moment of inertia using the formula I = ½·m·r², assuming a solid cylinder or disk shape based on the mass and radius you provide.

What units of energy does this tool support?

The calculator supports Joules (J), Kilojoules (kJ), and Watt-hours (Wh).

What formula is used to calculate the stored kinetic energy?

It uses the rotational kinetic energy formula E = ½·I·ω², where I is the moment of inertia and ω is the angular velocity in radians per second.

How is rotational speed in rpm converted to angular velocity?

Rotational speed (n) in rpm is converted to angular velocity (ω) in rad/s using the formula ω = 2π·n/60.

Can I adjust the precision of the output?

Yes, you can specify the number of decimal places for the output, ranging from 0 to 8.

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Flywheel Energy Storage Calculator

Calculate the kinetic energy stored in a flywheel. E = ½·I·ω², ω = 2π·n/60. Enter the moment of inertia directly, or compute it from flywheel mass and radius (I = ½·m·r²). Supports J/kJ/Wh.

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1 examples

I=2 kg·m² at 3000 rpm

ω = 2π·3000/60 ≈ 314.16 rad/s, E = ½·2·314.16² ≈ 98696 J ≈ 98.7 kJ ≈ 27.4 Wh.

{"result":"E = ½·I·ω² = ½·2·314.1593² = 98696.044 J. ω = 314.1593 rad/s.","metadata":{"input":{"momentOfInertia":2,"speed":3000},"result":{"energy":98696.044,"energyUnit":"J","angularVelocity":314.1593}}}

Inputs

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6 options

SettingsAdjust formats, ranges, numbers, and modes.6

Moment of Inertia I (kg·m²)numberOptionalOptional. If omitted, it is computed from flywheel mass and radius using I = ½·m·r².Rotational Speed n (rpm)numberRequiredFlywheel Mass m (kg)numberOptionalOptional. Used with radius to derive I when I is not provided.Flywheel Radius r (m)numberOptionalOptional. Used with mass to derive I when I is not provided.Energy UnitselectOptionalDecimal PlacesnumberOptional

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Flywheel Energy Storage Calculator

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Use cases

Examples

1. Calculating Energy for a High-Speed Flywheel with Known Inertia

2. Sizing a Solid Disk Flywheel from Mass and Radius

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